Question

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A chemical engineer is studying the rate of this reaction. H,Co, (aq) - H20 (aq) +CO, (ag) She hills a reaction vessel with H, 00, and measures its concentration as the reaction proceeds. Here's a graph of her data: 0.20-4 (w) [Ⓡod' 02 04 06 08 (seconds) Use this graph to answer the following questions: What is the half life of the reaction? 1/2 = 0 Round your answer to 2 significant digits. Suppose the rate of the reaction is known to be first order in H CO3. Calculate the value of the rate constant k. X 5 ? Round your answer to 2 significant digits. Also be sure you include the correct unit symbol. Predict the concentration of H, CO, in the engineer's reaction vessel after 1.50 seconds have passed. Assume no other reaction is important, and continue to assume the rate is first order in H, CO,. [H.co,] - OM Round your answer to 2 significant digits.

Answer 1

1. t1/2 is the time required to reduce half of the initial concentration

from the graph intial conc [Ao] = 0.18 M

half of inital conc = 0.18/2 = 0.9 M

from the graph time at 0.9 M conncentration is = 0.5 s

so t (half) = 0.50 s

2.

Rate constant = 0.693 / t(half) = 0.693 / 0.50 s = 1.386 s-1 ~ 1.39s-1

3.

M To find the final concentreation of first order reaction First order rate constant K 1.386 S-1 Initial concentration [AO] 0.1800 Final concentration [A] ? M Time taken to reach final concentration 1.50 S First order rate equation Kt In [AO] In [A] In [AO] In 0.180 -1.714798 - -3.794 [A] e -3.794 Final concentration 0.023 - In [A] - Kt -C 1.39E+00 S-1 * 2.079 1.50 s) | M